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antoniya [11.8K]
2 years ago
12

Solve for x. any help would be appreciated thanks

Mathematics
2 answers:
WARRIOR [948]2 years ago
8 0
The correct answer is x=5

Rashid [163]2 years ago
6 0
You have to set them equal
9x+47=16x+12
-12 -12
9x+35=16x
-9x -9x
35=7x
/7 /7
5=x
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What could be the ordered pairs representing vertices C and D of quadrilateral abcd so that the new fire department is congruent
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Given that <span>a city grid of Anytown, USA is shown on the grid below. The fire department is represented by quadrilateral RSTU. Another fire department is opening in a different part of the city to maximize fire protection. The size of the new department's property must be congruent to the older department. Vertices A and B are plotted on the grid to represent two vertices of the new fire department quadrilateral ABCD.

Map of Anytown; the line y equals 7 is Main Road; the line y equals 3 is Rose Lane; the line y equals negative 1 is Crystal Avenue; the line x equals negative 4 is Brick Street; the diagonal line is Dogwood Drive; Old Fire Department forms quadrilateral with ordered pairs R at negative 4, 7, S at negative 1, 7; T at negative 1, 3; U at negative 4, 3; A is at 4, negative 1 and B is at 1, negative 1

Recall that t</span><span>wo shapes are said to be congruent if the lengths of the sides and the angles are the same.

For quadrilateral RSTU to be congruent to quadrilateral ABCD, then RS = AB, RU = AD, ST = BC and TU = CD

Also, the figure ABCD is a result of a rigid body translation of the figure RSTU.

Given that R is at point (-4, 7) and A is at point (4, -1), also given that S is at point (-1, 7) and B is at point (1, -1).

It can be seen that points AB is a result of refrecting points RS across the y-axis and then shifting the resulting points down by 8 units.

Thus, given point T as (-1, 3) and point U as (-4, 3), refrection of points T and U across the y-axis will result in points (1, 3) and (4, 3), then shifting the resulting points down by 8 units will result to points (1, -5) and (4, -5)

Therefore, the ordered pairs representing vertices C and D of quadrilateral ABCD so that the new fire department is congruent to the old fire department are C(1, -5) and D(4, -5).</span>

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2 years ago
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Answer:

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3 years ago
Select the correct answer. emily wants to find the number that appears in the middle of a set of 25 numbers arranged in ascendin
Igoryamba

The correct answer is option (C) median.

The median will help Emily to find the number that appears in the middle of the 25 numbers that are arranged in ascending order.

<h3>What is the mean, median and mode? </h3>

The mean, median, and mode are the three most commonly used measures of central tendency for populations that do not have much data, that is, they do not need to be grouped.

The mean, also known as average, is the value obtained by dividing the sum of a cluster of numbers by the number of them.

When arranging the numbers from least to largest, the median sits exactly in the middle of the values that are above. The median is a set that is a value that is in the middle of the other values.

The number that appears most frequently in a set of numbers is called the mode.

So, The median will help Emily to find the number that appears in the middle of the 25 numbers that are arranged in ascending order.

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kolbaska11 [484]

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180/15= 12 and 276/23= 12

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